On the Probabilistic Postulate of Quantum Mechanics

Foundations of Physics

Volumn 26, Issue 10, 1996, Pages 1357-1374

  Cassinello, Andrés ^a   Sánchez Gómez, José Luis ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542610251     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02058273     Document Type: Article

References (22)

1. John von Neumann, Mathematical Foundation of Quantum Mechanics (Princeton University Press, 1955).
2. David Finkelstein, "The logic of quantum mechanics," Trans. N. Y. Acad. Sci. 25, 630 (1965).
3. James B. Hartle, "Quantum Mechanics of individual systems," Am. J. Phys. 36(8), 704-712 (1968).
4. Hugh Everett, "The theory of the universal wave function," The many-Worlds Interpretation of Quantum Mechanics (Princeton University Press, 1963), pp. 3-140.
5. Bryce S. DeWitt, "The many-universes interpretation of quantum mechanics," in The Many-worlds Interpretation of quantum Mechanics, B. S. DeWitt and N. Graham, eds. (Princeton University Press, 1963), pp. 167-218.
6. H. D. Zeh, The Physical Basis of The Direction of Time (Springer 1992), 2nd. edn., p. 100.
7. Edward Fahri et al., "How probability arises in quantum mechanics," Ann. Phys. 192, 368-382 (1989).
8. G. R. Grimmett and D. R. Stirzaker, Probability and Random Processes (Oxford University Press, 1982), p. 177.
9. William Feller, An Introduction to Probability Theory and Its Applications, Vol. I (Wiley, New York, 1968), 3rd edn., pp. 203-243.
10. Euan J. Squires, "On an Alleged proof of the quantum probability law," Phys. Lett. A 145, 67-68 (1990).
11. William Kneale, Probability and Induction (Oxford University Press, 1949).
12. Edwin T. Jaynes, "Where do we stand on maximum entropy," Papers on Probability Statistics and Statistical Physics (Reidel, 1983), pp. 210-314.
13. Ref. 3, p. 706.
14. Ref. 7, p. 370.
15. Hugh Everett, "The theory of the universal wave Function," The Many-Worlds Interpretation of Quantum Mechanics, B. S. DeWitt and N. Graham, eds. (Princeton University Press, 1963) p. 68.
16. Ref. 5, pp. 183-186.
17. Ref. 5, p. 185.
18. Ibid.
19. L. E. Ballentine, "Can the statistical postulate of quantum theory be derived? - A critique of the many-universes interpretation," Found. Phys. 3(2), 229-240 (1973).
20. Stanley P. Gudder, "Axiomatic quantum mechanics," in The Logic-Algebraic Approach to Quantum Mechanics, Vol. 2 (Reidel, Dordrecht, 1979), pp. 323-363.
21. K. R. Parthasarathy, An Introduction to Quantum Stochastic Calculus (Birkhäuser, Berlin, 1992).
22. Roland Omnès, The Interpretation of Quantum Mechanics (Princeton University Press, 1994), p. 121.